Variable transport delay

		`\| Vectorized \|`
`in the palette`	`on the schematic`	`\| Vectorized \|`

The block implements the solution of the equation (system of equations) of transport transfer of a decaying scalar substance of the form:

under the assumption that the transport rate of the scalar substance is constant within the site for each moment of time under boundary conditions

and initial conditions

In the equation y_i(t) is the transported scalar substance, u_i(t) is the transport rate, L is the length of the scalar substance transportation (transfer) section, and x is the spatial coordinate. After entering the dimensionless spatial coordinate Z=x/L and the instantaneous time of transport of the scalar substance within the section τ_i(t)=L/u_i(t), the equation is written as follows:

and the initial conditions take the form:

Mandatory сondition τ_i(t)>0

Inputs

y(0,t) - signal corresponding to the value of scalar substance at the entrance to the transportation section y_i(0,t)=u_i(t);
τ(t) - signal corresponding to the value of instantaneous time of transfer of scalar substance within the transportation section τ_i(t).

Outputs

y(1,t) - signal corresponding to the value of the scalar substance at the exit from the transportation section y_i(1,t);
T(t) - signal corresponding to the value of the time of stay of the "mark" of the scalar substance within the transportation section T_i(t).

Properties:

Decay constant vector – vector of λ_i coefficients.
Initial stack size – initial array size for temporary storage of block data.

Parameters

none

Прим.: by default the block implements variable transport delay of scalar input signal.